Calculating Sugar Concentration in Water Solution

How can we calculate the amount of sugar required to prepare a 20% sugar solution?

Based on the data provided, what is the mass of solute needed to prepare a 300-gram sugar in water solution with a concentration of 20% m/m?

Answer:

The mass of solute (sugar) needed is 60 grams.

Hello there! Let's dive into the calculation to determine how much sugar we need to prepare a 20% sugar solution.

Firstly, we can use the formula for mass/mass percentage concentration, which is:

%m/m = (mass of solute / mass of solution) * 100%

In this scenario, we are looking for the mass of the solute (sugar), which is the unknown variable. By rearranging the formula, we get:

mass of solute = (%m/m * mass of solution) / 100%

Plugging in the values from the data:

mass of solute = (20% * 300g) / 100%

Calculating further:

mass of solute = 60g

Therefore, to prepare a 300-gram sugar in water solution with a concentration of 20% m/m, you will need 60 grams of sugar. Happy experimenting!